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52507504368 = 243311472331009
BaseRepresentation
bin110000111001101100…
…001110111011110000
312000112100010120222000
4300321230032323300
51330013410114433
640042134014000
73536120265054
oct607154167360
9160470116860
1052507504368
11202a5132210
12a2147a7300
134c4a3c8b17
142781775c64
151574aa4113
hexc39b0eef0

52507504368 has 320 divisors, whose sum is σ = 168803481600. Its totient is φ = 15490621440.

The previous prime is 52507504363. The next prime is 52507504411. The reversal of 52507504368 is 86340570525.

52507504368 is a `hidden beast` number, since 52 + 507 + 50 + 43 + 6 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52507504363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 52038648 + ... + 52039656.

It is an arithmetic number, because the mean of its divisors is an integer number (527510880).

Almost surely, 252507504368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52507504368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84401740800).

52507504368 is an abundant number, since it is smaller than the sum of its proper divisors (116295977232).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

52507504368 is a wasteful number, since it uses less digits than its factorization.

52507504368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1317 (or 1305 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The spelling of 52507504368 in words is "fifty-two billion, five hundred seven million, five hundred four thousand, three hundred sixty-eight".